To find the mass of copper dissolved in a 100.0 mL volumetric flask holding a 0.0500 M solution of [tex]\(Cu^{2+}\)[/tex] ion, we can follow these steps:
1. Convert the volume from mL to L:
- Since 1 L = 1000 mL, we can divide the volume in mL by 1000 to get the volume in liters.
[tex]\[
100.0 \, \text{mL} = \frac{100.0}{1000} \, \text{L} = 0.100 \, \text{L}
\][/tex]
2. Determine the number of moles of [tex]\(Cu^{2+}\)[/tex]:
- The concentration of the solution is given in molarity (M), which is moles per liter. Therefore, we can use the formula:
[tex]\[
\text{moles of } Cu^{2+} = \text{volume (L)} \times \text{concentration (M)}
\][/tex]
- Substituting the values:
[tex]\[
\text{moles of } Cu^{2+} = 0.100 \, \text{L} \times 0.0500 \, \text{M} = 0.0050 \, \text{moles}
\][/tex]
3. Calculate the mass of copper:
- To find the mass, we'll need the molar mass of copper (Cu), which is approximately 63.546 g/mol.
- Use the formula:
[tex]\[
\text{mass of Cu (g)} = \text{moles of Cu} \times \text{molar mass of Cu}
\][/tex]
- Substituting the values:
[tex]\[
\text{mass of Cu} = 0.0050 \, \text{moles} \times 63.546 \, \text{g/mol} \approx 0.3177 \, \text{g}
\][/tex]
Therefore, the mass of copper ([tex]\(Cu\)[/tex]) dissolved in the 100.0 mL volumetric flask is approximately 0.3177 grams.
